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On-The-Fly Algorithm for Reachability in Parametric Timed Games (Extended Version)

2024/01/20 by Mikael Bisgaard Dahlsen-Jensen, Dahlsen-Jensen, Mikael Bisgaard, Baptiste Fievet +5 · 1 citation
Computer Science · #FOS: Computer and information sciences #Formal Languages and Automata Theory (cs.FL) #Formal Methods in Verification #Software Reliability and Analysis Research #Software Testing and Debugging Techniques

paper · pdf · doi:10.48550/arxiv.2401.11287

openalex publication_date 2024/01/20 · openalex created_date 2024/01/24 · openalex updated_date 2026/07/28

Abstract

Parametric Timed Games (PTG) are an extension of the model of Timed Automata. They allow for the verification and synthesis of real-time systems, reactive to their environmeand depending on adjustable parameters. Given a PTG and a reachability objective, we synthesize the values of the parameters such that the game is winning for the controller. We adapt and implement the On-The-Fly algorithm for parameter synthesis for PTG. Several pruning heuristics are introduced, to improve termination and speed of the algorithm. We evaluate the feasibility of parameter synthesis for PTG on two large case studies. Finally, we investigate the correctness guarantee of the algorithm: though the problem is undecidable, our semi-algorithm produces all correct parameter valuations ``in the limit''.

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